dorsal/arxiv
View SchemaBosonic Quantum Codes for Amplitude Damping
| Authors | I. L. Chuang, Debbie W. Leung, Yoshihisa Yamamoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9610043 |
| URL | https://arxiv.org/abs/quant-ph/9610043 |
| DOI | 10.1103/PhysRevA.56.1114 |
Abstract
Traditional quantum error correction involves the redundant encoding of k quantum bits using n quantum bits to allow the detection and correction of any t bit error. The smallest general t=1 code requires n=5 for k=1. However, the dominant error process in a physical system is often well known, thus inviting the question: given a specific error model, can more efficient codes be devised? We demonstrate new codes which correct just amplitude damping errors which allow, for example, a t=1, k=1 code using effectively n=4.6. Our scheme is based on using bosonic states of photons in a finite number of optical modes. We present necessary and sufficient conditions for the codes, and describe construction algorithms, physical implementation, and performance bounds.
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"abstract": "Traditional quantum error correction involves the redundant encoding of k\nquantum bits using n quantum bits to allow the detection and correction of any\nt bit error. The smallest general t=1 code requires n=5 for k=1. However, the\ndominant error process in a physical system is often well known, thus inviting\nthe question: given a specific error model, can more efficient codes be\ndevised? We demonstrate new codes which correct just amplitude damping errors\nwhich allow, for example, a t=1, k=1 code using effectively n=4.6. Our scheme\nis based on using bosonic states of photons in a finite number of optical\nmodes. We present necessary and sufficient conditions for the codes, and\ndescribe construction algorithms, physical implementation, and performance\nbounds.",
"arxiv_id": "quant-ph/9610043",
"authors": [
"I. L. Chuang",
"Debbie W. Leung",
"Yoshihisa Yamamoto"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.56.1114",
"title": "Bosonic Quantum Codes for Amplitude Damping",
"url": "https://arxiv.org/abs/quant-ph/9610043"
},
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